Tarek I. Zohdi Livres

Focusing on computational micromechanics, this book offers a thorough introduction to the field, covering essential topics such as homogenization theory, microstructural optimization, and multifield analysis of heterogeneous materials. It highlights the growing importance of modern numerical methods due to advancements in computational power. Aimed at researchers, engineers, and first-year graduate students in applied sciences, mechanics, and mathematics, it serves as a valuable resource for those interested in the computational analysis of new materials.

Focusing on the fundamentals of the Finite Element Method, this primer uses linearized elasticity as a classical model problem to illustrate key concepts. It covers essential topics that lay the groundwork for understanding this computational technique, making it accessible for readers seeking to grasp the basics of finite element analysis.

Focusing on the advancements in modeling and simulation of infectious diseases spurred by the COVID-19 pandemic, this book delves into critical topics such as disease propagation, transmission, decontamination, and vaccines. It aims to provide researchers with a concise overview of these evolving themes, reflecting the progression of the pandemic. Beginning with foundational concepts in mathematics, optimization, and machine learning, the text explores four key themes essential for understanding and addressing infectious diseases in a modern context.

The objective of this monograph is to provide a concise introduction to the dynamics of systems comprised of charged small-scale particles. Flowing, small-scale, particles ("particulates'') are ubiquitous in industrial processes and in the natural sciences. Applications include electrostatic copiers, inkjet printers, powder coating machines, etc., and a variety of manufacturing processes. Due to their small-scale size, external electromagnetic fields can be utilized to manipulate and control charged particulates in industrial processes in order to achieve results that are not possible by purely mechanical means alone. A unique feature of small-scale particulate flows is that they exhibit a strong sensitivity to interparticle near-field forces, leading to nonstandard particulate dynamics, agglomeration and cluster formation, which can strongly affect manufactured product quality. This monograph also provides an introduction to the mathematically-related topic of the dynamics of swarms of interacting objects, which has gained the attention of a number of scientific communities. In summary, the following topics are discussed in detail: (1) Dynamics of an individual charged particle, (2) Dynamics of rigid clusters of charged particles, (3) Dynamics of flowing charged particles, (4) Dynamics of charged particle impact with electrified surfaces and (5) An introduction to the mechanistic modeling of swarms. The text can be viewed as a research monograph suitable for use in an upper division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials.

Recently, several applications driven by microtechnology have emerged, necessitating materials with tailored electromagnetic (dielectric) properties for effective design. These tailored properties result from combining a moldable base matrix with particles selected to achieve desired effective characteristics. Analyzing such materials often requires simulating both macroscopic and microscopic electromagnetic responses, along with their coupled thermal responses, which are crucial for identifying potential failures in "hot spots." This analysis also demands stress evaluations. Additionally, since these processes can trigger degradatory chemical reactions, incorporating models for these processes is often essential. A central goal of this work is to provide foundational models and numerical solution strategies for analyzing the coupled responses of these materials through direct simulation using standard laptop or desktop equipment. The content includes: (1) Foundations of Maxwell's equations, (2) Basic homogenization theory, (3) Coupled systems (electromagnetic, thermal, mechanical, and chemical), (4) Numerical methods, and (5) An introduction to select biological problems. This text serves as a research monograph suitable for upper-division undergraduate or first-year graduate courses aimed at students in applied sciences, mechanics, and mathematics interested in the analysis of particulate materials.